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Finding the Volume of Revolution Using the Shell Method : y=9x/√(x³+9) ; the x-axis ; x= 3

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Using the shell method, find the volume of a solid generated by revolving about the y axis.

The boundaries of the solid are:
y=9x/√(x³+9)
the x-axis
the line x=3

Note: I received a solution to this problem from an OTA, but it appeared that the integration wasn't complete. I would like to see another OTA solve the problem to verify the solution. Thanks

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The volume of revolution of a solid is found using the shell method. The solution is detailed and well presented.

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